Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales

Abstract

We prove a two dimensional Holder and reverse-Holder inequality on time scales via the diamond-alpha integral. Other integral inequalities are established as well, which have as corollaries some recent proved Hardy-type inequalities on time scales.

arXiv commentAccepted for publication (October 21, 2009) in the journal "Annals of the University of Craiova, Mathematics and Computer Science Series" (http://inf.ucv.ro/~ami)

References in corpus (1)

• Diamond-$\alpha$ Jensen's Inequality on Time Scales